

Name of the Department

Department of Studies and Research
in Mathematics 
Year of Establishment

1975 
Name of the Chairman

Dr. S.K. Narasimhamurthy 
Address of the Department

Department of Studies &
Research in Mathematics
School of Physical Sciences , Maths and Computer
Science Building, Jnana Sahyadri,
Shankaraghatta  577451
Phone: +91(0)8282256310, Fax: 08282256255
email: maths@kuvempu.ac.in 
About
Department: 
The
department was started as P.G.
Centre of University of Mysore, in
B.R. project in 1975. It was housed
in a primary school building till
1996 and later was shifted to the
main campus. After the information
of new University in 1987, this
department became an integral part
of Kuvempu University named after
the great Kannada poet, winner of
Janna Peetha Awardee Kuppalli
Venkatappa Puttappa (Kuvempu). The
department of Mathematics has been
harnessing precious human resources
for overall department of society
through the pursuit for the
excellence in the area of
Mathematical sciences. The
department has produced 25 Ph.D.,
and 23 M.Phil., degrees and wore
than 160 research papers have been
published in reputed national and
international journals. At present
the number of research scholars
registered for Ph.D., programme is
24. As a part of the university
institute interaction the department
staff and students got trained in
research originations like TIFR,
IISC, IIT etc., conducting seminars
symposia workshops and conferences
to provide platform for scientists
and industrialists to discuss for
mutual benefit. The department
established mathematical society in
2008. Under the banner of society
the following programs are
conducted: 
1.
Helping the students in getting the
placements.
2. Providing facility for research
activities.
3. Funding economically weaker and
meritorious students to purchase the
books and reading materials. 
The
department has introduced an unique
programme entitled earn and learn
scheme for M.Phil., and Ph.D.,
students. In this scheme some of the
students working at Badravathi
Shimoga colleges an hourly basis
along with their regular academic
activities. The credit of
first Ph.D., of Kuvempu University
goes to Mathematics department. 
The
department is actively engaged in
research in the areas of
differential geometry, fluid
mechanics & certain areas related to
simulation of fluid flow using
computer graphics. We train train
our students to fulfill the current
needs of software companies. The
main objective is to prepare the
students with good skills, which are
essential for software companies.
The project works guided by our
teachers are published in reputed
journals. The students are also
deputed to various
seminars/conferences. 
The
credit of award of first Ph.D., of
Kuvempu University goes to
mathematics department. The
department has organized refresher
courses (199798) and many
conferences/seminars in mathematics
of national/international level. 


1 
Programmes
Offered: 
Programmes 
Nature &
Duration 
Eligibility 
Intake 
M.Sc., 
CBCS  Semester Scheme
(4 Semesters) 
B.Sc. Degree with Mathematics as
one of the major subject. 
39+10 
M.Phil., 
One Year 
Masters Degree in
Mathematics 
2 students per
guide 
Ph.D 
Three Years Minimum 
Masters Degree in
Mathematics 
5+2 students
per guide 


Courses (i.e.,
Papers) Offered (Structure of the Programme):
M.Sc.,
Mathematics 
Paper Code 
Paper Type 
Title
of the Paper 
Hrs. 
Credit 
Marks 


SemesterI 



MSM 1.1 
Hardcore 
Algebra 

5 
25+75=100 
MSM 1.2 
Hardcore 
Real AnalysisI 

5 
25+75=100 
MSM 1.3 
Hardcore 
Ordinary Differential Equations 

5 
25+75=100 
MSM 1.4 
Soft core 
Computer Fundamentals and C Programming 

3 
25+75=100 
MSM 1.5 
Soft core 
Discrete Mathematics 

4 
25+75=100 
MSM 1.6 
Practical 
Lab Based MSM 1.4 

2 
50 








SemesterII 



MSM 2.1 
Hardcore 
Linear Algebra and its Applications 

5 
25+75=100 
MSM 2.2 
Hardcore 
Real AnalysisII 

5 
25+75=100 
MSM 2.3 
Hardcore 
TopologyI 

4 
25+75=100 
MSM 2.4 
Soft core 
Partial Differential Equations 

3 
25+75=100 
MSM 2.5 
Soft core 
Complex Analysis 

5 
25+75=100 
MSM 2.6 
Soft core 
MAT LAB Programming 

2 
50 
Elective 
ElectiveI 
Basic Mathematical Modelling 

2 
50 








SemesterIII 



MSM 3.1 
Hardcore 
Measure Theory 

5 
25+75=100 
MSM 3.2 
Hardcore 
TopologyII 

4 
25+75=100 
MSM 3.3 
Hardcore 
Numerical Analysis 

4 
25+75=100 
MSM 3.4 
Soft core 
Differential Geometry 

4 
25+75=100 
MSM 3.5 
Soft core 
Fluid Mechanics 

5 
25+75=100 
MSM 3.6 
Soft core 
Numerical Methods – Lab 

2 
50 
Elective 
ElectiveII 
Statistical Techniques 

2 
50 








SemesterIV 



MSM 4.1 
Hard core 
Riemannian Geomentry 

4 
25+75=100 
MSM 4.2 
Hard core 
Magnetohydrodynamics 

4 
25+75=100 
MSM 4.3 
Hard core 
Functional Analysis 

4 
25+75=100 
MSM 4.4A MSM 4.5B MSM 4.6A

Soft core 
Operations research Computational Geometry Computer aided Geometric Design


4 
25+75=100 
Project 
Project 
Project Work 

6 
100 







Faculty:

Sl.No. 
Name 
Qualification 
Designation 
Area of
Specialisation 
01 
Dr. S.K. Narasimhamurthy 
M.Sc., M.Phil., Ph.D 
Professor 
Differential Geometry and
Finsler Geometry 
02 
Dr. B.J. Gireesha. 
M.Sc., M.Phil., Ph.D 
Assistant Professor 
Fluid Mechanics 
03 
Dr. Venkatesha. 
M.Sc. Ph.D 
Assistant Professor 
Contact Manifolds 


Departmental Trust Areas of Research 
01 
Differential
Geometry: Kahlerian, contact & Finsler
Manifolds. 
02 
Fluid Dynamics:

i. 
Study of MHD /MGD Flow using
Hodograph methods 
ii. 
Study of Dusty Flow in moving frame
(Frenet frame field
system) 
iii 
Simulation of
fluid flow using numerical methods 
iv 
Boundary layer
flow and heat transfer 
v 
Simulation of fluid flow 



Research Projects
: 
Title of the Project 
Name of the Principal
Investigator 
Funding Agency 
Duration 
Amount Sanctioned 
Status 
Einstein Manifolds 
Prof.C.S.Bagewadi & Dr.Venkatesh 
DST, New Delhi 
3 Years 
15.11 Lakhs 
On going 
Unsteady Flow of Heat transfer of a Dusty
Fluid 
Dr. B.J. Gireesha &
Prof.C.S.Bagewadi 
DST, New Delhi 
3 Years 
9.34 Lakhs 
On going 
Conformal
change of Finsler spaces and its
applications 
Dr. S.K.
Narasimhamurthy 
UGC 
3 Years 
7.97 Lakhs 
On going 
Study on
boundary Layer Flow of an Unsteady Dusty
Fluid 
Dr. B.J.
Gireesha 
UGC 
3 Years 
7.79 Lakhs 
On going 








Workshops/Seminars/Conferences organized and
Funding Agency : 
Title 
Level 
Year 
Funding Agency 
Geometry, Analysis Mechanics & Computer
Applications 
International

2000 
DST,CSIR,NBHM & UGC 
Emerging Trends in Human Machine Interface 
International 
2004 
CSIR,DST, and JNNCE, Shimoga 
Geometry, Analysis Mechanics & Computer
Applications 
National 
2004 
DST,CSIR & UGC 
Recent Trends in Mathematics 
National 
2008 
DST & UGC, New Delhi 
Two Days
Workshop on Special Lecture Series in
Mathematics 
National 
2009 
Karnataka
Science and Technology Academy, Government
of Karnataka 
The Vision
Group of Mathematics & Computer Science 
National 
2010 
Karnataka
Science and Technology Academy, Government
of Karnataka 
Differential
Geometry and its applications 
National 
2011 
Tensor Society
of India, Lucknow, UGC and University 






Ph.D
Successfully Guided from 200203 onwards: 
Name of the
Scholar 
Title 
Year 
Name of the
Guide 
B.J. Gireesha 
A Study of Dusty Gas Flow using Geometric
models 
2002 
Prof. C.S. Bagewadi 
N.B. Gatti

A Study on Conservative and Irrotational
Curvature Tensor of Contact manifolds 
2003 
Prof. C.S. Bagewadi 
S.K. Narasimhamurthy 
Some Contributions to Finsler Submanifolds

2004 
Prof. C.S. Bagewadi 
E. Girish Kumar 
Some Contributions to Trans Sasakian
Manifolds 
2005 
Prof. C.S. Bagewadi 
S. Bhagya 
A Study of Fluid Flow using Hodograph method 
2005 
Prof. C.S. Bagewadi 
Venkatesha 
A Study on Contact Manifolds 
2006 
Prof. C.S. Bagewadi 
B.C.Prasanna Kumar 
Mathematical modeling of dusty fluid flow 
2007 
Prof. C.S. Bagewadi 
D.G.Prakash 
Certain structures on manifolds 
2008 
Prof. C.S. Bagewadi 
N.S.Basavarajappa 
A Study on conservative irrotational
curvature tensors 
2008 
Prof. C.S. Bagewadi 
G.M.Lingaraju 
Cognitive modeling of fluid flow for virtual
reality applications based on scientific
visualisation 
2008 
Prof. C.S. Bagewadi 
P. Venkatesh 
Flow of
conducting dusty fluid using geometric
techniques 
2009 
Prof. C.S. Bagewadi 
Pradeep Kumar

A Study of
Metric Transformations on Finsler Subspaces 
2009 
Dr. S. K.
Narasimhamurthy 
S. T. Aveesha 
Some
Contribution to Conformal Theory of Finsler
Spaces 
2010 
Dr. S. K.
Narasimhamurthy 
G.T. Sreenivasa 
A Brief
Contribution to Contact and Lorentzian
Manifolds 
2010 
Dr. Venkatesha 
T. Nirmala

Study of dusty
fluid flow with variable viscosity 
2010 
Dr. B. J.
Gireesha 
K.R. Madhura 
Study of dusty
viscous fluid flows 
2010 
Dr. B. J.
Gireesha 
Karekal
Naganagoud 
Certain
Structures on Contact and Lorentzian
Manifolds 
2011 
Dr. Venkatesha 






Facilities
: 
The Department
of Post Graduate Studies in Mathematics is
housed in Mathematics & Computer Science
Block. It has well equipped class room,
seminar hall, Computer Laboratory & separate
staff room with necessary accessories for
each individual teacher. Department has a
computer laboratory with 30 recent
configuration systems with LCD & over head
projectors. There is a separate rest room
for girls. The block has well maintained
lawn & central Library with excellent
exhaustive collection of books in almost all
branches of mathematics supported by NBHM. 


Future
Expansions/Diversification Plans : 
The department
sent a proposal to UGC for Special
Assistance programme under the title
“Application of Differential Geometry
Techniques to Fluid Flows” 
We plan to
establish the department as a School of
Differential Geometry & its applications. 


Awards/Recognition/Achievements of
Faculty: 
Dr.C.S.BAGEWADI: 
a 
NR Sen
memorial lecturer 2010 ICRMDA,
KOLKATTA. 
b 
Sadhana
Puraskar award for outstanding
academician from Kuvempu University
in 2010. 
c 
One of
Papers is recognized as 3 star
papers. 
d 
“Shikshana Rathna Puraskar” by India
International Friendship
Society2007, New Delhi. 
e 
Rotary
award for Academic distinction at
B.Sc. from Rotary Club, Bagalkot,
1971. 
f 
C.S.I.R.
Post Doctoral Fellow during
19771978. 
g 
C.S.I.R.
regular research fellow for
obtaining Ph.D. Degree (197377) 
h 
National Merit Scholarship to do
M.Sc. Course. 

DR.
S. K. NARASIMHAMURTHY: 
a 
Sri
Dwarkanath Best paper/ presentation
and cash price award at Rishikesha,
Uttar Khand organized by tensor
society, Lucknow in 2010. In 2011, 




Placements : 
The passes out students
are working as teachers in High Schools,
Junior Colleges, Under graduate colleges,
Universities & administrators. Some of the
students are settled in abroad & some have
been appointed in NCERT and in software
field. Many students of our department are
working as faculty members in reputed
engineering colleges all over India. 


Achievements of the
alumni : 
* Alumni is started in the Academic
year 2008. * Mathematical Society
started from 2008 





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